Is there any manga in which the male character is master and the female character is slave but not ecchi nor smuty stuff, the master tortures the slave psychologically not phisically? Is it clear enough 😕

the only one I can think of is He Is My Master but thats ecchi

Glados is a bitch. She made me kill the companion cube, the only friend I'll ever have. 😢

Chibidoro-sama=Neko-freak

Majin Tantei Neugami Neuro has that sort of relationship. Although the titles are not explicitly 'master' and 'slave', that is the nature of their relationship.

This signature was recovered from Hades to serve in my rotting armies.